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Elasticity of A+XI[X] domains where A is a Dedekind domain

✍ Scribed by Sébastien Pellerin; Richard Robert

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 175 KB
Volume: 176
Category: Article
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(02)00041-5

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✦ Synopsis

Let A be a Dedekind domain and I be an ideal of A. We investigate the elasticity of integral domains of the form R = A + XI [X ]. Namely, when the ideal class group of A is inÿnite, we show that the elasticity of R is inÿnite, and when this group is ÿnite, we bound from below and above the elasticity of R using the number of prime ideals in the factorization of I and some Davenport-type constants. We derive the exact value of the elasticity in some special cases.

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